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GMATbuster92
Joined: 28 Jun 2018
Last visit: 20 Jul 2019
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Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
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27 Aug 2018, 01:11
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
69% (00:50) correct
31%
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based on 327
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If ab = b, which of the following must be true?
A) a=1
B) b=0
C) a=1 and b=0
D) a=1 or b=1
E) a=1 or b=0
A) a=1
B) b=0
C) a=1 and b=0
D) a=1 or b=1
E) a=1 or b=0
27 Aug 2018, 01:16
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GMATbuster92
\(ab=b........ab-b=0........b(a-1)=0\)
so a=1 or b=0 or both
E
General Discussion
27 Aug 2018, 01:20
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fairly straightforward:
ab=b
any number multiplied by 1 remains the same:
1.b=b
--> a=1
there is no other option for a to be anything else since that would modify the outcome
then ask yourself: is there an option where b on it's own can make this true:
the only case where any variable number of times a number = that number is for 0
1.b=b
2.b=b
3.b=b
is only ever true for b=0
since we figured out these 2 requirements a=1, b=0 separately, this means there is no dependency, hence:
OR
a=1 or b=0
--> E
ab=b
any number multiplied by 1 remains the same:
1.b=b
--> a=1
there is no other option for a to be anything else since that would modify the outcome
then ask yourself: is there an option where b on it's own can make this true:
the only case where any variable number of times a number = that number is for 0
1.b=b
2.b=b
3.b=b
is only ever true for b=0
since we figured out these 2 requirements a=1, b=0 separately, this means there is no dependency, hence:
OR
a=1 or b=0
--> E
